Well Balanced Multi-value Sequence and its Properties over Odd Characteristic Field

M. Arshad Ali, Yuta Kodera, M. Fazle Rabbi, Takuya Kusaka, Yasuyuki Nogami, Satoshi Uehara, Robert H. Morelos-Zaragoza

Research output: Contribution to journalArticlepeer-review


The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coefficients (except the zero) appear almost the same in number, thus, the proposed sequence is so called the well balanced sequence. This paper experimentally describes some prominent features regarding a sequence, for instance, its period, autocorrelation, and cross-correlation. The value of the autocorrelation and cross-correlation can be explicitly given by the authors formulated theorems. In addition, to ensure the usability of the proposed multi-value sequence, the authors introduce its flexibility by making it a binary sequence. Furthermore, this paper also introduces a comparison in terms of the linear complexity and distribution of bit patterns properties with their previous works. According to the comparison results, the proposed sequence holds better properties compared to our previous sequence.

Original languageEnglish
Pages (from-to)188-196
Number of pages9
JournalAdvances in Science, Technology and Engineering Systems
Issue number4
Publication statusPublished - 2019


  • Correlation
  • Distribution of bit patterns
  • Linear complexity
  • Power residue symbol
  • Pseudo random sequence
  • Trace function

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Physics and Astronomy (miscellaneous)
  • Management of Technology and Innovation


Dive into the research topics of 'Well Balanced Multi-value Sequence and its Properties over Odd Characteristic Field'. Together they form a unique fingerprint.

Cite this